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larisa [96]
3 years ago
10

Given the following sequence, find the 14th term: 3, 1, –1, –3, –5, . . .

Mathematics
1 answer:
Alexeev081 [22]3 years ago
8 0

Answer:

c.

Step-by-step explanation:

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The ratio of the number of dogs the number of cats is 4:5. There are 270 animals on the rescue Farm. The number of dogs is 4/5.
mafiozo [28]

Answer:

<em>Here is the complete question:</em>

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

a. The number of dogs is 4/5 the number of cats.

b. 4/5 of the pets at the farm are dogs.

c. There are exactly 30 more cats than dogs.

d. There are exactly 30 dogs at the farm.

e. 5/9 of the pets at the farm are cats.

a,c and e are true statements.

Step-by-step explanation:

Let the number of dogs be "d' and number of cats be "c".

According to the question:

⇒ c+d=270   ...equation (i)

Arranging the ratio:

⇒ \frac{4}{5} = \frac{d}{c}

⇒ 4c=5d

⇒ c=(\frac{5}{4})d    ...equation (ii)

Plugging (ii) in equation (i).

⇒ c+d=270

⇒ \frac{5}{4} d+d=270

⇒ \frac{5d+4d}{4} =270

⇒ 9d=270\times 4

⇒ d=\frac{270\times 4}{9}

⇒ d=120

Number of dogs "d" = 120

Number of cats "c" = (270-120) = 150

Lets check each statement:

a.

The number of dogs is 4/5 the number of cats.

⇒ \frac{4}{5} \times 150

⇒ \frac{4\times 150}{5}

⇒ 120

Statement is true.

b.

4/5 of the pets at the farm are dogs.

⇒ \frac{4}{5} \times 270

⇒ 216

Number of dogs = 120

So the above statement is false.

c.

There are exactly 30 more cats than dogs.

⇒ c-d =30

⇒ 150-120=30

Statement is true.

d.

There are exactly 30 dogs at the farm.

False, as there are 120 dogs

e.

5/9 of the pets at the farm are cats.

⇒ \frac{5}{9} \times 270

⇒ 150

Statement is true.

So,

Statement  a,c and e are true as we could observe in the explanation.

8 0
3 years ago
Una gruesa de lapices(144 unidades) cuesta $6.800. Cuanto cuestan 450 lapices
irina [24]
Write and solve an equation of ratios:

$6,800                x
------------- = --------------
144 units       450 units

Then 144x = 3060000, or x = $21,250 (answer)
3 0
3 years ago
I need help 30 points mathematics
sp2606 [1]

First box

<em>4/10</em>

0.4 divided by 1

0.4/1 *10

= 4/10

Box on top that's the point where it's 3 away from 4/10

<em>0.7</em>

Bottom

<em>7/10</em>

<em />

0.7 divided by 1

0.7/1*10

= 7/10

Next box

<em>0.9</em>

9/10

= 0.9

6 0
2 years ago
How do you solve P=3r+2s; for s?
EastWind [94]
P = 3r + 2s --> P - 3r = 3r - 3r + 2s
2s = P - 3r --> 2s/2 = (P - 3r)/2
s = (P - 3r)/2
8 0
3 years ago
PLZ ANSWER QUICK IT WILL HELP A LOT!
OlgaM077 [116]

Answer: A

Step-by-step explanation: all answer choices have the negative sign for the x-value

4 0
3 years ago
Read 2 more answers
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